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Switched state feedback for uncertain continuous‐time systems with interval delays
Author(s) -
Mahmoud Magdi S.,
Xia Yuanqing
Publication year - 2011
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1645
Subject(s) - control theory (sociology) , interval (graph theory) , state (computer science) , feedback control , stability (learning theory) , minification , controller (irrigation) , computer science , full state feedback , mathematics , control (management) , mathematical optimization , control engineering , engineering , algorithm , agronomy , artificial intelligence , machine learning , biology , combinatorics
The objective of this paper is to design a switched robust control for a class of continuous‐time systems subject to linear fractional uncertainty and interval time delays. The controller is based on state feedback and the LMI‐based stability conditions are derived using an improved Lyapunov–Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimization of a guaranteed cost function. The theoretical results are illustrated with a numerical example. Copyright © 2010 John Wiley & Sons, Ltd.